Get the licence by challenging the test or do the course.
Most crown land in Alberta is claimed trapline, called RFMA's. I believe there are 1700 RFMA's across alberta.
Find some one that will sell thier the line and assets, send in your application and if all goes well, you can buy it.
You can also get a Resident licence which allows you to trap on private lands, With permission, and small areas of crown that are not part of a RFMA.